ISBN編號:9787519266448 書名:數學物理=Mathematical 數學物理=Mathematical 作者:羅伯特·傑勒西 代碼:59 是否是套裝:否 出版社名稱:世界圖書出版有限公司北京分公司
" 數學物理 作 者: 羅伯特·傑勒西(Robert Geroch) 著 定 價: 59 出?版?社: 世界圖書出版公司 出版日期: 2019年09月01日 頁 數: 358 裝 幀: 平裝 ISBN: 9787519266448 ●Chapter 1. Introduction Chapter 2. Categories Chapter 3. The Category of Groups Chapter 4. Subgroups Chapter 5. Normal Subgroups Chapter 6. Homomorphisms Chapter 7. Direct Products and Sums of Groups Chapter 8. Relations Chapter 9. The Category of Vector Spaces Chapter 10. Subspaces Chapter 11. Linear Mappings; Direct Products and Sums Chapter 12. From Real to Complex Vector Spaces and Back Chapter 13. Duals Chapter 14. Multilinear Mappings; Tensor Products Chapter 15. Example: Minkowski Vector Space Chapter 16. Example: The Lorentz Group Chapter 17. Functors Chapter 18. The Category of Associative Algebras Chapter 19. The Category of Lie Algebras Chapter 20. Example: The Algebra of Observables Chapter 21. Example: Fock Vector Space Chapter 22. Representations: General Theory Chapter 23. Representations on Vector Spaces Chapter 24. The Algebraic Categories: Summary Chapter 25. Subsets and Mappings Chapter 26. Topological Spaces Chapter 27. Continuous Mappings Chapter 28. The Category of Topological Spaces Chapter 29. Nets Chapter 30. Compactness Chapter 31. The Compact-Open Topology Chapter 32. Connectedness Chapter 33. Example: Dynamical Systems Chapter 34. Homotopy Chapter 35. Homology Chapter 36. Homology: Relation to Homotopy Chapter 37. The Homology Functors Chapter 38. Uniform Spaces Chapter 39. The Completion of a Uniform Space Chapter 40. Topological Groups Chapter 41. Topological Vector Spaces Chapter 42. Categories: Summary Chapter 43. Measure Spaces Chapter 44. Constructing Measure Spaces Chapter 45. Measurable Functions Chapter 46. Integrals Chapter 47. Distributions Chapter 48. Hilbert Spaces Chapter 49. Bounded Operators Chapter 50. The Spectrum of a Bounded Operator Chapter 51. The Spectral Theorem: Finite-dimensional Case Chapter 52. Continuous Functions of a Hermitian Operator Chapter 53. Other Functions of a Hermitian Operator Chapter 54. The Spectral Theorem Chapter 55. Operators (Not Necessarily Bounded) Chapter 56. Self-Adjoint Operators 內容簡介 《數學物理》是對諸如群、向量空間、拓撲空間、度量空間和希爾伯特空間等基本數學結構的導論,這些數學結構是學習相對論、粒子物理學和天體物理學等理論物理的數學基礎。作者使用範疇論來強調不同數學結構之間的相互關繫與數學的統一性。 羅伯特·傑勒西(Robert Geroch) 著 羅伯特·傑勒西(Robert Geroch)是美國有名理論物理學家,芝加哥大學教授。他的研究領域主要是廣義相對論和數學物理,他推廣了範疇論在數學和物理中的應用。 "
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